Last edited by Meshakar
Sunday, August 9, 2020 | History

2 edition of stability of plane Poiseuille motion. found in the catalog.

stability of plane Poiseuille motion.

J. L. Synge

stability of plane Poiseuille motion.

by J. L. Synge

  • 216 Want to read
  • 16 Currently reading

Published in [n.p .
Written in English

    Subjects:
  • Hydrodynamics,
  • Motion

  • Edition Notes

    Reprinted from the Proceedings of the Fifth International congress of Applied Mechanics, 1938, p. 326-332.

    The Physical Object
    Pagination[7] p.
    ID Numbers
    Open LibraryOL16651783M

    The linearized equations for the evolution of disturbances to four wall bounded flows are treated. The flows are plane Couette flow and plane Poiseuille flow, Hagen-Poiseuille pipe flow, and the. Global Stability of Poiseuille Flow between Cylinders which Rotate with the Same Angular Velocity.- Disturbance Equations for Rotating Plane Couette Flow.- The Form of the Disturbance Whose Energy Increases at the Smallest R.- Necessary and Sufficient Conditions for the Global Stability of Rotating Plane Couette Flow.-

    Books are an engaging way to enhance lessons and drive home concepts. Here is an excellent Force and Motion booklist that focuses on concepts such as push, pull, inertia, gravity, friction, wind power, and speed. Most of these Force and Motion picture books are geared toward students in Kindergarten through Third grade. Rousset, Franc¸ois, Bourgin, Patrick, and Palade, Liviu-Iulian. "Stability Analysis of a Plane Poiseuille Flow of Multilayered Viscoelastic Fluids: An Energetic Approach." Proceedings of the ASME Fluids Engineering Division Summer Meeting. Volume 1: Symposia, Parts A and B. Houston, Texas, USA. June 19–23, pp. ASME.

    Hydrodynamic stability of plane Poiseuille flow in Maxwell fluid with cross-flow M. LAMINE1, M. RIAHI, A. HIFDI 1. Laboratory of Mechanics, University Hassan II-Casablanca, Morocco, @ Abstract The linear stability analysis of plane Poiseuille flow in a Maxwell fluid in the presence of a uniform cross-flow is studied.   The stability of Poiseuille flow in channels with walls grooved in the streamwise direction is investigated numerically. In the framework of physically justified scaling of velocity and length, an analysis of energy and linear critical Reynolds numbers was carried out in a practically important range of groove heights, sharpness and spacing.


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Stability of plane Poiseuille motion by J. L. Synge Download PDF EPUB FB2

P H VSI CAL REVI EAV UOL NUMBER 4 AUG The Stability of Plane Poiseuille Flow I.H. THoMAS l4 atson Scientific Computing Laboratory, Columbia University, E'm York, EevJ York (Received Ap ) The problem of the stability of plane Poiseuille Row to small disturbances leads to a characteristic value problem for the Orr- Somrnerfeld equation with given boundary conditions.

The linear stability of plane Poiseuille flows of two and three-symmetrical layers is studied by using both longwave and moderate wavelength analysis. The considered fluids follow Oldroyd-B constitutive equations and hence the stability is controlled by the viscous and elastic stratifications and the layer by: Stability of Plane Poiseuille Motion.

General Theory of Hydrodynamic Stability -Stokes equations neutral curve obtained Orr-Sommerfeld equation parabolic profile parallel flows parameter physical paradox plane Poiseuille motion point of inflexion Poiseuille flow pressure gradient Proc Rayleigh real axis region Reynolds About Google. The stability of a two-dimensional Couette-Poiseuille flow is investigated.

The primary unidirectional flow is between two infinite parallel plates, one of which moves relative to the other. The results for the case of Poiseuille flow agree with.

In the plane Poiseuille flow, we define ε = a/H, where H is half of the channel height. The results of a numerical integration of () are shown in Figure at different now define the entrance length as the distance from the inlet to the point where the profile of the variable of interest differs from the well-developed profile by a small amount (say 1%).

Matthias Steinhausen –Plane Poiseuille Flow 6 Eigenvalue Stability Analysis • Assume wavelike solutions:, = ො + − −𝑖 𝑘 2− 2 0 1 ො 𝜂ො + 𝐿𝑂 0 𝑖 𝑈 ′ 𝐿 ො 𝜂ො =0 with what leads to the EV problem: (−𝑖)ෝ𝒒=0 with the solution.

As to plane Poiseuille flow, Lin () has verified Heisenberg’s () earlier conclusion that plane Poiseuille flow is unstable, and has determined the critical Reynolds number to be 10, (based on channel width and maximum velocity).

His results have now been generally accepted. But the stability of combined plane Couette and. Try the new Google Books. Check out the new look and enjoy easier access to your favorite features Stability of Plane Poiseuille Motion.

General Theory of Hydrodynamic Stability neutral oscillation obtained Orr-Sommerfeld equation oscillations parabolic profile parallel flows parameter physical paradox plane Poiseuille motion point. The stability against small disturbances of the pressure-driven plane laminar motion of an electrically conducting fluid under a transverse magnetic field is investigated.

Assuming that the outer regions adjacent to the fluid layer are electrically non-conducting and not ferromagnetic, the appropriate boundary conditions on the magnetic field. The instability of shear flows, of which the Poiseuille flow is a canonical example, is among the most classical and most challenging problems in fluid mechanics, and a huge amount of effort has been devoted to it (1 –13).The most definitive advance has been the recent experimental work by Avila et al.

(): By measuring the puff decaying and splitting times, they obtained an estimate for the. For plane parallel flow, it is shown that the stability characteristics for a dusty gas are still determined by solutions of the Orr-Sommerfeld equation, but with the basic velocity profile replaced by a modified profile which is in general complex.

A simple, although unrealistic, example is used to illustrate some features of the action of dust. The stability of steady and time-dependent plane Poiseuille flow - Volume 34 Issue 1 - Chester E. Grosch, Harold Salwen.

Cite this chapter as: Glansdorff P. () Stability of Plane Poiseuille Flow. In: Thermodynamics in Contemporary Dynamics. International Centre for Mechanical Sciences (Courses and Lectures), vol Stability calculations have been performed for a two-dimensional plane Poiseuille flow for Newtonian and upper-convected Maxwell fluids using a finite element code to solve the full equations of motion.

Adding elasticity to the flow as modelled by the upper-convected Maxwell model has been shown to destabilize the flow. In the present work, the stability of a plane Poiseuille flow forced by spanwise oscillations is studied via the instantaneous linear stability theory (LST).

For streamwise Poiseuille flow and a spanwise Stokes layer, the superposition of these two linearly stable flows can lead to transient growth of perturbations. The linear stability of a plane compressible laminar (Poiseuille) flow sandwiched between two semi-infinite elastic media was investigated with the aim of explaining the excitation of volcanic tremors.

Our results show that there are several regimes of instability, and the nature of stability significantly depends on the symmetry of oscillatory fluid and solid motion. Linear stability of plane Poiseuille flow over a generalized Stokes layer Maurizio Quadrio1,2, Fulvio Martinelli2 and Peter J Schmid2 1 Dip.

Ing. Aerospaziale, Politecnico di Milano, Campus Bovisa, I Milano 2 Laboratoire d’Hydrodynamique (LadHyX), CNRS–Ecole Polytechnique, F Palaiseau´ E-mail: [email protected] Abstract. Linear stability of plane Poiseuille flow.

The main topic of this thesis is the stability of incompressible plane Couette flow and pipe Poiseuille flow. Plane Couette flow is the stationary flow between two infinite parallel plates, moving in opposite directions at a constant speed, and pipe Poiseuille flow is the stationary flow in an infinite circular pipe, driven by a constant.

Note on Discrepancies between Two Theories on the Stability of Plane Poiseuille Flow Journal of the Physical Society of Japan, Vol. 7, No. 6 Stability of the Laminar Inlet-flow prior to the Formation of Poiseuille Régime, II. We study the linear stability of Plane Poiseuille flow of an elastoviscoplastic fluid using a revised version of the model proposed by Putz and Burghelea (A.M.V.

Putz, T.I. Burghelea, Rheol. Acta 48 () –). The evolution of the. We report results from a linear stability analysis of Newtonian plane Poiseuille flow through a deformable linear elastic channel with an unrestrained boundary wherein the deformable wall is not rigidly bonded to a substrate and is free to undergo motion.An Internet Book on Fluid Dynamics COUETTE AND PLANAR POISEUILLE FLOW Couette and planar Poiseuilleflow are both steady flows between two infinitely long, parallel plates a fixed distance, h, apart as sketched in Figures 1 and 2.

The difference is that in Couette flow one of the plates Figure 1: Couette flow. Figure 2: Planar Poiseuille.Potter () studied the linear stability of plane Couette-Poiseuille flow and showed that the presence of a Couette component has an overall stabilizing effect on the Poiseuille flow.

Mott and.